Step-by-step explanation:
the true statemnts underneath and are in bold letters
-.For all nonempty sets A, B, C, D, if A x B = C x D, then A = C and B = D.
This property is true
-The cartesian product has a cancellation property, i.e. if A x B = A x C for some sets A, B, C and A nonempty, then B = C.
This property is true
- If A={1,2} and B={3} then A x B ={ (1,3), (2,3) }.
if we have 2 non empty sets a and b if we want to get their cartesian product, it is defined as the set of all ordered pairs from a and b
we have A x B to be{(1,3)(2,3)}
therefore this is also true
Automated electron backscattered diffraction is now being used in the study of fracture phenomena. The following information is on misorientation angle (degrees).
Class: 0−<5 5−<10 10−<15 15−<20 20−<30 30−<40 40−<60 60−<90
Rel freq: 0.179 0.168 0.174 0.135 0.193 0.071 0.051 0.029
Is it true that more than 50% of the sampled angles are smaller than 15°, as asserted by researchers?
A. Yes, the proportion of sampled angles smaller than 15° is greater than 0.50.
B. Yes, the proportion of sampled angles smaller than 15° is not greater than 0.50.
C. No, the proportion of sampled angles smaller than 15° is greater than 0.50.
D. No, the proportion of sampled angles smaller than 15° is not greater than 0.50.
Answer: A. Yes, the proportion of sampled angles smaller than 15° is greater than 0.50.
Step-by-step explanation:
Given the data :
Class: _______ relative frequency
0−<5 __________ 0.179
5−<10 __________ 0.168
10−<15 _________ 0.174
15−<20 _________ 0.135
20−<30 _________0.193
30−<40 _________ 0.071
40−<60 _________ 0.051
60−<90 _________ 0.029
Evaluating the proportion of sampled angles less than 15°. This consist of the following classes :
Class: ________frequency
0−<5 __________ 0.179
5−<10 __________ 0.168
10−<15 _________ 0.174
Summing up the relative frequency values :
(0.179 + 0.168 + 0.174) = 0.521
0.521 * 100% = 52.1%
Hence, more than 50% of the sampled angles are smaller than 15°
The graph of f(x)=x2 is horizontally stretched by a factor of 2 and then shifted to the left 2 units and down 4 units. Which equation describes the function g that results?
Using shifting concepts, it is found that function g is given by:
[tex]g(x) = \frac{x^2 - 4x - 12}{4}[/tex]
--------------
Horizontally stretching a function f(x) a units is the same as finding [tex]f(\frac{x}{a})[/tex]Shifting a function f(x) a units to the left is the same as finding f(x - a).Shifting a function f(x) down a units is the same as finding f(x) - a.--------------
The parent function is:
[tex]f(x) = x^2[/tex]
--------------
Horizontally stretching by a factor of 2.
[tex]f(\frac{x}{2}) = (\frac{x}{2})^2 = \frac{x^2}{4}[/tex]
--------------
Shifting left 2 units:
[tex]f(\frac{(x-2)}{2}) = \frac{(x - 2)^2}{4} = \frac{x^2 - 4x + 4}{4}[/tex]
--------------
Shifting down 4 units:
[tex]g(x) = f(\frac{(x-2)}{2}) - 4 = \frac{x^2 - 4x + 4}{4} - 4 = \frac{x^2 - 4x + 4}{4} - \frac{16}{4} = \frac{x^2 - 4x - 12}{4}[/tex]
A similar problem is given at https://brainly.com/question/24465194
Gloria deposited $500 into a bank account that earned 7.5% simple interest each year. She earned $225 in interest before closing the account.
No money was deposited into or withdrawn from the account.
How many years was the money in the account?
Round your answer to the nearest whole year.
Answer:
6
Step-by-step explanation:
7.5 % × 500 = 37.5
37.5 × 6 = 225
Answer:
6
Step-by-step explanation:
find the value of x in the below complementary angle 3x(5x+2)
Answer:
The value of x is 11
Step-by-step explanation:
Two angles are complementary if the sum of their measures is 90°
Let us use this rule to solve our question
∵ The angle of measure (3x)° and the angle of measure (5x + 2)°
are complementary angles
→ That means their sum equals 90°
∴ 3x + 5x + 2 = 90
→ Add the like terms in the left side
∵ (3x + 5x) + 2 = 90
∴ 8x + 2 = 90
→ Subtract 2 from both sides to move 2 from the left side to the right side
∵ 8x + 2 - 2 = 90 - 2
∴ 8x = 88
→ Divide both sides by 8 to find x
∵ 8x/8 = 88/8
∴ x = 11
∴ The value of x is 11
PLEASE HELP ME I WILL GIVE BRAINLIEST!!!!!!
What is the relationship between a and b. ?
What is the correct sum of 2.34 and 128.8
Answer:
131.14
Step-by-step explanation:
Hope this helps!! Good luck!!
Answer:
131.14
Step-by-step explanation:
2.34 + 128.8 = 131.14
(x-8) (2x +9)
Test the equivalency of the two expressions by using the value x =9. Show your test.
im not being rude i was just trying yo say sais the Anser but.it wouldnt let mr so now im sad
The total price for a group of people at a restaurant is $113.40. Each person pays
$16.20. How many people argjn the group?
16 people
70 people
7 people
10 people
Answer:
7 people
Step-by-step explanation:
What is the smallest value that x^(2)+6 can have?
Answer:
-56.9034
Step-by-step explanation:
What is the quotient of : 4.652/.3
Answer:
15.51
Step-by-step explanation:
divide (2x^2-5x-3) by (x-3)
Answer:
2x + 1
Step-by-step explanation:
Answer:
The expression simplifies to [tex]2x+1[/tex]
Step-by-step explanation:
To divide the polynomials, we must first factor the trinomial into binomials so we can easily divide it by the binomial. Factoring [tex]2x^2-5x-3[/tex] results in the expression [tex](x-3)(2x+1)[/tex]. Since these two values are multiplied, the [tex](x-3)[/tex] can be canceled out by the divisor, which is the exact same expression. This leaves us with our final answer: [tex]2x+1[/tex].
In other words, which one doesn't belong?
x>-2
3< x
x < 4
5>6
Please help!!
Answer:
5>6
Step-by-step explanation:
Determine the area of e
1.
4inch
Richard is W years old express algebraically is age 10 years ago
Answer:
W-10
Step-by-step explanation:
if Richard is W years old then subtract 10 from W
Answer:
W-10
Step-by-step explanation:
Subtract his 10 from his current age
There are 6 tickets to winning a trip, 10 tickets to winning a computer, and 184 tickets to
winning a pen. What is the probability of winning either a trip or a computer?
Answer:
[tex] \frac{2}{25} [/tex]
is the probability of winning either a trip or a computer
Jordan bought 7 chicken wings for $14.00. If Jordan spent $36.00, how many chicken wings did he buy?
Answer:
18
Step-by-step explanation:
7/14 = x/36
7*36=14*x
252=14x
x=252/14
x=18
Hope this helped !
will mark brainliest
please help me asap on this word problem! explain.
Answer:
The second one for both a and b.
Step-by-step explanation:
The first cereal box is:
8•3•11=264 inches cubed
the second cereal box is:
10•10•3=300 inches cubed
a. The box that holds more cereal would be the second one, since it has more volume.
b. The box that requires more material to make is the second one, since the it is bigger in volume, therefore, bigger in length and width.
What is the value of x?
(3x+5)
(8x-3)
Answer:
there are infinite x values
Step-by-step explanation:
salome tiene 4 veces la edad de esmeralda.si ambas edades suman 75 años¿que edad tiene cada una?
10 points!! Scatter plots; please help me!
Answer:
the first green one. yes
Step-by-step explanation:
it looks the clostest to yours
What is the first step in ordering fractions with different denominators
Answer:
Find the common denominator. :)
Find two consecutive even integers
such that twice the larger is 14 less
than 5 times the smaller.
help me
Kadyn rode his bicycle in a marathon for
176 miles. He took a rest stop every 22
miles. How many rest stops did Kadyn
take?
Kadyn took 8 rest stops.
Step-by-step explanation:
22 x 8 = 176
Answer: The answer is 8
Can't figure this out extremely need help). A line goes through the points (8,9) and ( -2,4). A) what is the slope of the line? Show your work. B) Write the equation of the line in point -slope form. Show your work. C) Write the equation of the line in slope-intercept form. Show your work. ( Brainliest Answer and please be honest with your response). Make sure you show all your work please and thank you.
Step-by-step explanation:
Im sorry but I found it more easy writing it on a paper!
Can someone help me with Number 7 i’ll give the brainly thingy
Answer:
$9.50
Step-by-step explanation:
can someone help me? The question is the picture below. 30 POINTS!!!
Answer:
Hope that helps! (ignore this, I just need more characters lol)
I’m confused, what would the answer be? I need it ASAP please
Answer:
It is A
Step-by-step explanation:
An industrial/organizational psychologist is consulting with Family Practice Pediatrics, which has just lost several of its best doctors to a rival pediatric practice. The management at Family Practice would like to know what it can do to increase job satisfaction for its remaining pediatricians. The psychologist is trying to determine whether significant information will be lost if she surveys a subset rather than every single pediatrician at Family Practice.
The following table lists the job satisfaction scores for all eight pediatricians at Family Practice as well as four examples of possible four-pediatrician samples. At the bottom of the table, the variance listed in the second column for all eight pediatricians is the population variance for the eight pediatricians (that is, sigma^2 = SS/N = SS/8). The variances listed in the third through the sixth columns are the sample variances for each of the four-pediatrician samples (that is, s^2 = SS/(n - 1) = SS/3).
Pediatrician Satisfaction Sample 1 Sample 2 Sample 3 Sample 4
A 5 x x x
B 6 x x x x
C 8 x x x
D 3 x
E 7 x x
F 2 x
G 8 x x
H 9
Mean 6.00 6.75 6.50 5.25 6.00
Variance 5.50 2.25 1.67 6.25 4.67
What is the mean of the four sample means?
What is the mean of the four sample variances?
A sample statistic is_______ if the average value of the sample statistic, obtained over all possible samples, is equal to the population parameter.
A sample statistic is_______ if it consistently underestimates or overestimates the corresponding population parameter.
A sample mean (that is, M = sigma X/n) is_________ estimator of the population mean. A sample variance that is computed as s^2 = SS/(n - 1) is estimator of the population variance.
Complete Question
The complete question is shown on the first uploaded image
Answer:
What is the mean of the four sample means is [tex]\= x = 6.125 [/tex]
What is the mean of the four sample variances is [tex]\= x_v = 3.71[/tex]
A sample statistic is an unbiased point estimator if the average value of the sample statistic, obtained over all possible samples, is equal to the population parameter.
A sample statistic is biased if it consistently underestimates or overestimates the corresponding population parameter.
A sample mean (that is, M = sigma X/n) is unbiased estimator of the population mean
A sample variance that is computed as s^2 = SS/(n - 1) is unbiased estimator of the population variance.
Step-by-step explanation:
From the question we are told that
Mean 6.00 6.75 6.50 5.25 6.00
Variance 5.50 2.25 1.67 6.25 4.67
Generally the mean of the four sample means is mathematically represented as
[tex]\= x = \frac{6.00+ 6.75 + 6.50 + 5.25 + 6.00}{4}[/tex]
=> [tex]\= x = 6.125 [/tex]
Generally the mean of the four sample variances is mathematically represented as
[tex]\= x_v = \frac{5.50+ 2.25+ 1.67+ 6.25 +4.67}{4}[/tex]
=> [tex]\= x_v = 3.71[/tex]
4 thousands divided by 10 = hundreds
Answer:
400
Step-by-step explanation:
brainliest is appreiated